Fast transient analysis of power/ground planes based on multi-rate locally implicit latency insertion method

This paper describes a multi-rate locally implicit latency insertion method (LILIM) for the fast simulations of power distribution networks (PDNs) modeled by triangular meshes. The original LIM is the transient analysis method based on an explicit leapfrog scheme, and the LILIM is the numerical analysis method constructed by applying a locally implicit scheme to the original LIM. The proposed method improves the existing LILIM by exploiting multi-rate behavior of a circuit and using adaptive time step size for each subcircuit.